'Electron' and 'photon' emerging from supersymmetric neutral particles: A possible realization in ultracold Bose-Fermi atom mixture

TL;DR

This paper proposes a theoretical model where electrons and photons emerge from a supersymmetric Hubbard model in ultracold Bose-Fermi mixtures, suggesting experimental methods to observe these excitations through density response measurements.

Contribution

It introduces a non-relativistic supersymmetric Hubbard model demonstrating emergent electrons and photons in ultracold atom systems, with experimental proposals for their detection.

Findings

Emergent electrons and photons can arise from a supersymmetric Hubbard model.

The model predicts observable electron excitations via density response in ultracold mixtures.

A mechanism for stabilizing these excitations through induced Coulomb interactions is proposed.

Abstract

We show that the 'electron' and 'photon' can emerge from a supersymmetric Hubbard model which is a non-relativistic theory of the neutral particles. The Higgs boson and 'photon' may not appear in the same phase of the phase diagram. In a Mott insulator phase of the boson, the 'electron' and 'photon' are stablized by an induced Coulomb interaction between 'electrons'. This emergent mechanism may be 'realized' in an ultracold Bose-Fermi atom mixture except the long range Coulomb interaction is repalced by a nearest neighbor one. We suggest to create 'external electric field' so that the 'electron' excitation can be observed by measuring the linear density-density response of the 'electron' gas to the 'external field' in the time flying experiment of the mixture. The Fermi surface of the 'electron' gas may also be expected to be observed in the time flying.